Proof: Do Variables At Unchanged 22
Let's prove the following theorem:
if the following are true:
- expression state at time 22 = "iterate_args"
- Variables Map at time 22 = [ entry self: (Python reference 0), [ ] ]
then Variables Map at time 23 = [ entry self: (Python reference 0), [ ] ]
Proof:
Given
1 | expression state at time 22 = "iterate_args" |
---|---|
2 | Variables Map at time 22 = [ entry self: (Python reference 0), [ ] ] |
# | Claim | Reason |
---|---|---|
1 | Variables Map at time (22 + 1) = Variables Map at time 22 | if expression state at time 22 = "iterate_args", then Variables Map at time (22 + 1) = Variables Map at time 22 |
2 | Variables Map at time (22 + 1) = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (22 + 1) = Variables Map at time 22 and Variables Map at time 22 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (22 + 1) = [ entry self: (Python reference 0), [ ] ] |
3 | 22 + 1 = 23 | 22 + 1 = 23 |
4 | Variables Map at time (22 + 1) = Variables Map at time 23 | if 22 + 1 = 23, then Variables Map at time (22 + 1) = Variables Map at time 23 |
5 | Variables Map at time 23 = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (22 + 1) = Variables Map at time 23 and Variables Map at time (22 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 23 = [ entry self: (Python reference 0), [ ] ] |
Comments
Please log in to add comments